13530591 has 8 divisors (see below), whose sum is σ = 20045360. Its totient is φ = 9020376.

The previous prime is 13530563. The next prime is 13530599. The reversal of 13530591 is 19503531.

It is not a de Polignac number, because 13530591 - 2¹⁰ = 13529567 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 501133 = 13530591 / (1 + 3 + 5 + 3 + 0 + 5 + 9 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250540 + ... + 250593.

It is an arithmetic number, because the mean of its divisors is an integer number (2505670).

Almost surely, 2^13530591 is an apocalyptic number.

13530591 is a deficient number, since it is larger than the sum of its proper divisors (6514769).

13530591 is an equidigital number, since it uses as much as digits as its factorization.

13530591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501142 (or 501136 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 13530591 is about 3678.3951663735. The cubic root of 13530591 is about 238.2898746566.

The spelling of 13530591 in words is "thirteen million, five hundred thirty thousand, five hundred ninety-one".